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math-ph2025
Spectral analysis of The magnetic Laplacian acting on discrete funnels
Nassim Athmouni, Marwa Ennaceur, Sylvain Golénia
We study perturbations of the discrete magnetic Laplacian associated to discrete analogs of funnels. We perturb the metric in a long-range way. We establish a propagation estimate…
math-ph2008
Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz Hamiltonians
Sylvain Golénia
We perform the spectral analysis of a zero temperature Pauli-Fierz system for small coupling constants. Under the hypothesis of Fermi golden rule, we show that the embedded eigenva…